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Finding the Fourth Proportional to 9,147.74, 12,626.96 and 6,502.82

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Solution

The fourth proportional to 9,147.74, 12,626.96 and 6,502.82 is: 8,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.74 : 12,626.96 = 6,502.82 : x
  2. Step 2: Convert to fraction form
    9,147.74/12,626.96 = 6,502.82/x
  3. Step 3: Cross multiply
    9,147.74x = 12,626.96 × 6,502.82
  4. Step 4: Simplify right side
    9,147.74x = 82,110,752.38
  5. Step 5: Solve for x
    x = 82,110,752.38/9,147.74
  6. Step 6: Final answer
    x = 8,976.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.